The method of lower and upper solutions for fourth-order two-point boundary value problems

M Ruyun, Z Jihui, F Shengmao - Journal of Mathematical Analysis and …, 1997 - Elsevier
The Method of Lower and Upper Solutions for Fourth-Order Two-Point Boundary Value
Problems Page 1 Ž . JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 215 …

Positive solutions of fourth-order boundary value problems with two parameters

Y Li - Journal of Mathematical Analysis and Applications, 2003 - Elsevier
Positive solutions of fourth-order boundary value problems with two parameters Page 1 J.
Math. Anal. Appl. 281 (2003) 477–484 www.elsevier.com/locate/jmaa Positive solutions of …

Positive solutions of fourth-order two point boundary value problems

B Liu - Applied Mathematics and Computation, 2004 - Elsevier
In this paper, by using the Krasnoselskii fixed point theorem, we study the existence of one
or multiple positive solution of the fourth-order two point boundary value problem y (4)(t)= f (t …

The upper and lower solution method for some fourth-order boundary value problems

Z Bai - Nonlinear Analysis: Theory, Methods & Applications, 2007 - Elsevier
In this paper, we are concerned with the fourth-order two-point boundary value problem By
placing certain restrictions on the nonlinear term f, we obtain the existence results for the …

The method of lower and upper solutions for a bending of an elastic beam equation

Z Bai - Journal of Mathematical Analysis and Applications, 2000 - Elsevier
In this paper, by combining a new maximum principle and the theory of the two-parameter
linear eigenvalue problem, we develop the monotone method in the presence of lower and …

Existence and multiplicity of solutions for fourth-order boundary value problems with parameters

XL Liu, WT Li - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
In this paper we study the existence and multiplicity of the solutions for the fourth-order
boundary value problem (BVP) u (4)(t)+ ηu ″(t)− ζu (t)= λf (t, u (t)), 0< t< 1, u (0)= u (1)= u …

Existence of positive solutions of a fourth-order boundary value problem

R Ma - Applied Mathematics and Computation, 2005 - Elsevier
We consider the fourth-order boundary value problemwhere f (t, u, p)= au− b p+∘(∣(u, p)∣)
near (0, 0), and f (t, u, p)= cu− dp+∘(∣(u, p)∣) near∞. We give conditions on the constants …

Multiple positive solutions for a semipositone fourth-order boundary value problem

R Ma - Hiroshima Mathematical Journal, 2003 - projecteuclid.org
We consider the nonlinear fourth order boundary value problem uð4ÞðxÞ ¼ lf ðx, uðxÞ,
u0ðxÞÞ uð0Þ ¼ u0ð0Þ ¼ u00ð1Þ ¼ u000ð1Þ ¼ 0 where f: ½0, 1 ½0, yÞ½0, yÞ! ðÀy, yÞ …

[PDF][PDF] Nonresonance conditions for fourth-order nonlinear boundary value problems

C De Coster, C Fabry, F Munyamarere - Internat. J. Math. Sci, 1994 - emis.icm.edu.pl
If(t, u, v)l < alul + blvl + c, Page 1 Internat. J. Math. & Math. Sci. VOI. 17 NO. 4 (1994) 725-740
725 NONRESONANCE CONDITIONS FOR FOURTH ORDER NONLINEAR BOUNDARY …

[PDF][PDF] Positive solutions for a nonlocal fourth order equation of Kirchhoff type

TF Ma - Conference Publications, 2007 - aimsciences.org
POSITIVE SOLUTIONS FOR A NONLOCAL FOURTH ORDER EQUATION OF KIRCHHOFF
TYPE To Fu Ma 1. Introduction. In this paper we study the e Page 1 DISCRETE AND …